Solve 200(y+60)+400(y-170)-100000*20%

$$200 ( y + 60 ) + 400 ( y - 170 ) - 100000 \times 20 \%$$

Evaluate

$$600y-76000$$

Solution Steps

Use the distributive property to multiply 200 by y+60.

$$200y+12000+400\left(y-170\right)-100000\times \frac{20}{100}$$

Use the distributive property to multiply 400 by y-170.

$$200y+12000+400y-68000-100000\times \frac{20}{100}$$

Combine 200y and 400y to get 600y.

$$600y+12000-68000-100000\times \frac{20}{100}$$

Subtract 68000 from 12000 to get -56000.

$$600y-56000-100000\times \frac{20}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$600y-56000-100000\times \frac{1}{5}$$

Multiply 100000 and \frac{1}{5} to get \frac{100000}{5}.

$$600y-56000-\frac{100000}{5}$$

Divide 100000 by 5 to get 20000.

$$600y-56000-20000$$

Subtract 20000 from -56000 to get -76000.

$$600y-76000$$

Expand

$$600y-76000$$

Solution Steps

Use the distributive property to multiply 200 by y+60.

$$200y+12000+400\left(y-170\right)-100000\times \frac{20}{100}$$

Use the distributive property to multiply 400 by y-170.

$$200y+12000+400y-68000-100000\times \frac{20}{100}$$

Combine 200y and 400y to get 600y.

$$600y+12000-68000-100000\times \frac{20}{100}$$

Subtract 68000 from 12000 to get -56000.

$$600y-56000-100000\times \frac{20}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$600y-56000-100000\times \frac{1}{5}$$

Multiply 100000 and \frac{1}{5} to get \frac{100000}{5}.

$$600y-56000-\frac{100000}{5}$$

Divide 100000 by 5 to get 20000.

$$600y-56000-20000$$

Subtract 20000 from -56000 to get -76000.

$$600y-76000$$